468635904 has 243 divisors, whose sum is σ = 1522303237. Its totient is φ = 138547200.

The previous prime is 468635891. The next prime is 468635917. The reversal of 468635904 is 409536864.

The square root of 468635904 is 21648.

It is a perfect power (a square), and thus also a powerful number.

468635904 is a `hidden beast` number, since 4 + 6 + 8 + 635 + 9 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (468635891) and next prime (468635917).

It can be written as a sum of positive squares in only one way, i.e., 22581504 + 446054400 = 4752^2 + 21120^2 .

It is a super-2 number, since 2×468635904² = 439239221035794432, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 468635904.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11430124 + ... + 11430164.

Almost surely, 2^468635904 is an apocalyptic number.

468635904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

468635904 is the 21648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468635904

468635904 is an abundant number, since it is smaller than the sum of its proper divisors (1053667333).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468635904 is a wasteful number, since it uses less digits than its factorization.

468635904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The cubic root of 468635904 is about 776.7450950986.

The spelling of 468635904 in words is "four hundred sixty-eight million, six hundred thirty-five thousand, nine hundred four".